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Finding the Fourth Proportional to 233.19, 349.70 and 79.09

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Solution

The fourth proportional to 233.19, 349.70 and 79.09 is: 118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.19 : 349.70 = 79.09 : x
  2. Step 2: Convert to fraction form
    233.19/349.70 = 79.09/x
  3. Step 3: Cross multiply
    233.19x = 349.70 × 79.09
  4. Step 4: Simplify right side
    233.19x = 27,657.38
  5. Step 5: Solve for x
    x = 27,657.38/233.19
  6. Step 6: Final answer
    x = 118.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.